-
1
-
-
0035301717
-
Aim, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanisms
-
Rozvany GIN. Aim, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanisms. Structural and Multidisciplinary Optimization 2001; 21(2):90-108.
-
(2001)
Structural and Multidisciplinary Optimization
, vol.21
, Issue.2
, pp. 90-108
-
-
Rozvany, G.I.N.1
-
2
-
-
0042221869
-
-
Springer: Berlin, Heidelberg
-
Bendsøe MP, Sigmund O. Topology Optimization: Theory, Methods, and Applications. Springer: Berlin, Heidelberg, 2003.
-
(2003)
Topology Optimization: Theory, Methods, and Applications
-
-
Bendsøe, M.P.1
Sigmund, O.2
-
5
-
-
0842290715
-
Structural optimization using sensitivity analysis and a level-set method
-
Allaire G, Jouve F, Toader AM. Structural optimization using sensitivity analysis and a level-set method. Journal of Computational Physics 2004; 194:363-393.
-
(2004)
Journal of Computational Physics
, vol.194
, pp. 363-393
-
-
Allaire, G.1
Jouve, F.2
Toader, A.M.3
-
8
-
-
0001241926
-
Material interpolation schemes in topology optimization
-
Bendsøe MP, Sigmund O. Material interpolation schemes in topology optimization. Archive of Applied Mechanics 1999; 69:635-654.
-
(1999)
Archive of Applied Mechanics
, vol.69
, pp. 635-654
-
-
Bendsøe, M.P.1
Sigmund, O.2
-
9
-
-
0032137868
-
Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima
-
Sigmund O, Petersson J. Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Structural and Multidisciplinary Optimization 1998; 16:68-75.
-
(1998)
Structural and Multidisciplinary Optimization
, vol.16
, pp. 68-75
-
-
Sigmund, O.1
Petersson, J.2
-
10
-
-
33745654352
-
A new procedure for aerodynamic missile designs using topological optimization approach of continuum structures
-
Luo Z, Yang JZ, Chen LP. A new procedure for aerodynamic missile designs using topological optimization approach of continuum structures. Aerospace Science and Technology 2006; 10:364-373.
-
(2006)
Aerospace Science and Technology
, vol.10
, pp. 364-373
-
-
Luo, Z.1
Yang, J.Z.2
Chen, L.P.3
-
13
-
-
3042641429
-
Solution to boundary shape optimization problem of linear elastic continua with natural vibration mode shapes
-
Inzarulfaisham AR, Azegami H. Solution to boundary shape optimization problem of linear elastic continua with natural vibration mode shapes. Structural and Multidisciplinary Optimization 2004; 27:210-217.
-
(2004)
Structural and Multidisciplinary Optimization
, vol.27
, pp. 210-217
-
-
Inzarulfaisham, A.R.1
Azegami, H.2
-
15
-
-
0027908013
-
A simple evolution procedure for structural optimization
-
Xie YM, Steven GP. A simple evolution procedure for structural optimization. Computers and Structures 1993; 49(5):885-896.
-
(1993)
Computers and Structures
, vol.49
, Issue.5
, pp. 885-896
-
-
Xie, Y.M.1
Steven, G.P.2
-
16
-
-
33644844464
-
A moving superimposed finite element method for structural topology optimization
-
Wang SY, Wang MY. A moving superimposed finite element method for structural topology optimization. International Journal for Numerical Methods in Engineering 2006; 65(11):1892-1922.
-
(2006)
International Journal for Numerical Methods in Engineering
, vol.65
, Issue.11
, pp. 1892-1922
-
-
Wang, S.Y.1
Wang, M.Y.2
-
17
-
-
33846846308
-
A new hybrid fuzzy-goal programming scheme for multi-objective topological optimization of static and dynamic structures under multiple loading conditions
-
Luo Z, Yang JZ, Chen LP, Zhang YQ, Abdel-Malek K. A new hybrid fuzzy-goal programming scheme for multi-objective topological optimization of static and dynamic structures under multiple loading conditions. Structural and Multidisciplinary Optimization 2006; 31(1):26-39.
-
(2006)
Structural and Multidisciplinary Optimization
, vol.31
, Issue.1
, pp. 26-39
-
-
Luo, Z.1
Yang, J.Z.2
Chen, L.P.3
Zhang, Y.Q.4
Abdel-Malek, K.5
-
18
-
-
44749084234
-
Front propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
-
Osher S, Sethian JA. Front propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics 1988; 78:12-49.
-
(1988)
Journal of Computational Physics
, vol.78
, pp. 12-49
-
-
Osher, S.1
Sethian, J.A.2
-
19
-
-
0001176192
-
Structural boundary design via level set and immersed interface methods
-
Sethian JA, Wiegmann A. Structural boundary design via level set and immersed interface methods. Journal of Computational Physics 2000; 163:489-528.
-
(2000)
Journal of Computational Physics
, vol.163
, pp. 489-528
-
-
Sethian, J.A.1
Wiegmann, A.2
-
20
-
-
0037667522
-
Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Version and Material Science
-
Cambridge University Press: Cambridge, U.K
-
Sethian JA. Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Version and Material Science. Cambridge Monograph on Applied and Computational Mathematics. Cambridge University Press: Cambridge, U.K., 1999.
-
(1999)
Cambridge Monograph on Applied and Computational Mathematics
-
-
Sethian, J.A.1
-
21
-
-
0000653948
-
Level-set methods for optimization problem involving geometry and constraints: I. Frequencies of a two-density inhomogeneous drum
-
Osher S, Santosa F. Level-set methods for optimization problem involving geometry and constraints: I. Frequencies of a two-density inhomogeneous drum. Journal of Computational Physics 2001; 171(1):272-288.
-
(2001)
Journal of Computational Physics
, vol.171
, Issue.1
, pp. 272-288
-
-
Osher, S.1
Santosa, F.2
-
23
-
-
0442328973
-
Color level sets: A multi-phase method for structural topology optimization
-
Wang MY, Wang XM. Color level sets: a multi-phase method for structural topology optimization. Computer Methods in Applied Mechanics and Engineering 2004; 193(6-8):469-496.
-
(2004)
Computer Methods in Applied Mechanics and Engineering
, vol.193
, Issue.6-8
, pp. 469-496
-
-
Wang, M.Y.1
Wang, X.M.2
-
24
-
-
8344270354
-
PDE-driven level sets, shape sensitivity and curvature flow for structural topology optimization
-
Wang MY, Wang XM. PDE-driven level sets, shape sensitivity and curvature flow for structural topology optimization. Computer Modeling in Engineering and Science 2004; 6(4):373-395.
-
(2004)
Computer Modeling in Engineering and Science
, vol.6
, Issue.4
, pp. 373-395
-
-
Wang, M.Y.1
Wang, X.M.2
-
25
-
-
20044371668
-
A level-set method for vibration and multiple loads structural optimization
-
Allaire G, Jouve F. A level-set method for vibration and multiple loads structural optimization. Computer Methods in Applied Mechanics and Engineering 2005; 194(30-33):3269-3290.
-
(2005)
Computer Methods in Applied Mechanics and Engineering
, vol.194
, Issue.30-33
, pp. 3269-3290
-
-
Allaire, G.1
Jouve, F.2
-
26
-
-
3843112466
-
A geometry projection method for shape optimization
-
Norato J, Haber JR, Tortorelli D, Bendsøe MP. A geometry projection method for shape optimization. International Journal for Numerical Methods in Engineering 2004; 60(14):2289-2312.
-
(2004)
International Journal for Numerical Methods in Engineering
, vol.60
, Issue.14
, pp. 2289-2312
-
-
Norato, J.1
Haber, J.R.2
Tortorelli, D.3
Bendsøe, M.P.4
-
27
-
-
3242878427
-
A multilevel, level-set method for optimizing eigenvalues in shape design problems
-
Haber E. A multilevel, level-set method for optimizing eigenvalues in shape design problems. Journal of Computational Physics 2004; 198(2):518-534.
-
(2004)
Journal of Computational Physics
, vol.198
, Issue.2
, pp. 518-534
-
-
Haber, E.1
-
28
-
-
33645278655
-
Radial basis functions and level set method for structural topology optimization
-
Wang SY, Wang MY. Radial basis functions and level set method for structural topology optimization. International Journal for Numerical Methods in Engineering 2006; 65(12):2060-2090.
-
(2006)
International Journal for Numerical Methods in Engineering
, vol.65
, Issue.12
, pp. 2060-2090
-
-
Wang, S.Y.1
Wang, M.Y.2
-
30
-
-
0001167356
-
A PDE-based fast local level set method
-
Peng D, Merriman B, Osher S, Zhao H, Kang M. A PDE-based fast local level set method. Journal of Computational Physics 1999; 155:410-438.
-
(1999)
Journal of Computational Physics
, vol.155
, pp. 410-438
-
-
Peng, D.1
Merriman, B.2
Osher, S.3
Zhao, H.4
Kang, M.5
-
31
-
-
0002108952
-
The fast construction of extension velocities in level set methods
-
Adalsteinsson D, Sethian JA. The fast construction of extension velocities in level set methods. Journal of Computational Physics 1999; 148(1):2-22.
-
(1999)
Journal of Computational Physics
, vol.148
, Issue.1
, pp. 2-22
-
-
Adalsteinsson, D.1
Sethian, J.A.2
-
36
-
-
1942539307
-
Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions
-
Cecil T, Qian JL, Osher S. Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions. Journal of Computational Physics 2004; 196(1):327-347.
-
(2004)
Journal of Computational Physics
, vol.196
, Issue.1
, pp. 327-347
-
-
Cecil, T.1
Qian, J.L.2
Osher, S.3
-
37
-
-
29144525336
-
Level set methods and their applications in image science
-
Tsai R, Osher S. Level set methods and their applications in image science. Communications in Mathematical Sciences 2003; 1(4):623-656.
-
(2003)
Communications in Mathematical Sciences
, vol.1
, Issue.4
, pp. 623-656
-
-
Tsai, R.1
Osher, S.2
-
38
-
-
23144444440
-
A toolbox of level set methods
-
Technical Report, TR-2004-09, Department of Computer Science, University of British Columbia, Canada
-
Mitchell IM. A toolbox of level set methods. Technical Report, TR-2004-09, Department of Computer Science, University of British Columbia, Canada, 2004.
-
(2004)
-
-
Mitchell, I.M.1
-
40
-
-
33744972357
-
Structural shape and topology optimization using an implicit free boundary parameterization method
-
Wang SY, Wang MY. Structural shape and topology optimization using an implicit free boundary parameterization method. Computer Modeling in Engineering and Science 2006; 13(2):119-147.
-
(2006)
Computer Modeling in Engineering and Science
, vol.13
, Issue.2
, pp. 119-147
-
-
Wang, S.Y.1
Wang, M.Y.2
-
41
-
-
0033279022
-
An efficient interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow
-
Sussman M, Fatemi E. An efficient interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow. SIAM Journal on Scientific Computing 1999; 20:1165-1191.
-
(1999)
SIAM Journal on Scientific Computing
, vol.20
, pp. 1165-1191
-
-
Sussman, M.1
Fatemi, E.2
-
42
-
-
0037469442
-
Structured extended finite element methods for solids defined by implicit surfaces
-
Belytschko T, Parimi C, Moes N, Sukumar N, Usui S. Structured extended finite element methods for solids defined by implicit surfaces. International Journal for Numerical Methods in Engineering 2002; 56(4):609-635.
-
(2002)
International Journal for Numerical Methods in Engineering
, vol.56
, Issue.4
, pp. 609-635
-
-
Belytschko, T.1
Parimi, C.2
Moes, N.3
Sukumar, N.4
Usui, S.5
-
43
-
-
53749107179
-
-
Buhmann MD. Radial Basis Functions: Theory and Implementations. Cambridge Monographs on Applied and Computational Mathematics, 12. Cambridge University Press: New York, 2004.
-
Buhmann MD. Radial Basis Functions: Theory and Implementations. Cambridge Monographs on Applied and Computational Mathematics, vol. 12. Cambridge University Press: New York, 2004.
-
-
-
-
44
-
-
0042334783
-
Exponential convergence and h-c multiquadric collection method for partial differential equations
-
Cheng AD, Golberg MA, Kansa EJ, Zammito G. Exponential convergence and h-c multiquadric collection method for partial differential equations. Numerical Methods for Partial Equations 2003; 19(5):571-594.
-
(2003)
Numerical Methods for Partial Equations
, vol.19
, Issue.5
, pp. 571-594
-
-
Cheng, A.D.1
Golberg, M.A.2
Kansa, E.J.3
Zammito, G.4
-
45
-
-
0033434521
-
An algorithm for selecting a good value for the parameter c in radial basis functions interpolation
-
Rippa S. An algorithm for selecting a good value for the parameter c in radial basis functions interpolation. Advances in Computational Mathematics 1999; 11(2-3):193-210.
-
(1999)
Advances in Computational Mathematics
, vol.11
, Issue.2-3
, pp. 193-210
-
-
Rippa, S.1
-
46
-
-
0000764217
-
Error estimates for interpolation by compactly supported radial functions of minimal degree
-
Wendland H. Error estimates for interpolation by compactly supported radial functions of minimal degree. Journal of Approximation Theory 1998; 93:258-272.
-
(1998)
Journal of Approximation Theory
, vol.93
, pp. 258-272
-
-
Wendland, H.1
-
47
-
-
3142684323
-
Using compactly supported radial basis functions to solve partial differential equations
-
Chen CS, Brebbia CA, Pepper DW eds, WitPress: Southampton, Boston
-
Schaback R, Wendland H. Using compactly supported radial basis functions to solve partial differential equations. In. Boundary Element Technology, Chen CS, Brebbia CA, Pepper DW (eds), vol. XIII. WitPress: Southampton, Boston, 1999; 311-324.
-
(1999)
Boundary Element Technology
, vol.13
, pp. 311-324
-
-
Schaback, R.1
Wendland, H.2
-
48
-
-
0036013533
-
Inverse saturation theorems for radial basis function interpolation
-
Schaback R, Wendland H. Inverse saturation theorems for radial basis function interpolation. Mathematics of Computation 2002; 71:669-681.
-
(2002)
Mathematics of Computation
, vol.71
, pp. 669-681
-
-
Schaback, R.1
Wendland, H.2
-
49
-
-
12944278015
-
Characterization and construction of radial basis functions
-
Dyn N, Leviatan D, Pinkus A eds, Cambridge University Press: Cambridge, U.K
-
Schaback R, Wendland H. Characterization and construction of radial basis functions. In. Multivariate Approximation and Applications, Dyn N, Leviatan D, Pinkus A (eds). Cambridge University Press: Cambridge, U.K., 2001; 1-24.
-
(2001)
Multivariate Approximation and Applications
, pp. 1-24
-
-
Schaback, R.1
Wendland, H.2
-
50
-
-
0346847275
-
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
-
Wendland H. Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Advances in Computational Mathematics 1995; 4:389-396.
-
(1995)
Advances in Computational Mathematics
, vol.4
, pp. 389-396
-
-
Wendland, H.1
-
52
-
-
0347516597
-
Local Heaviside weighted MLPG meshless method for two-dimensional solids using compactly supported radial basis functions
-
Xiao JR. Local Heaviside weighted MLPG meshless method for two-dimensional solids using compactly supported radial basis functions. Computer Methods in Applied Mechanics and Engineering 2004; 194:117-138.
-
(2004)
Computer Methods in Applied Mechanics and Engineering
, vol.194
, pp. 117-138
-
-
Xiao, J.R.1
-
57
-
-
85025180302
-
Layout optimization of structures
-
Rozvany GIN, Kirsch U, Bendsøe MP, Sigmund O. Layout optimization of structures. Applied Mechanics Reviews 1995; 48(2):41-119.
-
(1995)
Applied Mechanics Reviews
, vol.48
, Issue.2
, pp. 41-119
-
-
Rozvany, G.I.N.1
Kirsch, U.2
Bendsøe, M.P.3
Sigmund, O.4
-
60
-
-
42649138251
-
A 99 line topology optimization code written in MATLAB
-
Sigmund O. A 99 line topology optimization code written in MATLAB. Structural and Multidisciplinary Optimization 2001; 31(6):419-429.
-
(2001)
Structural and Multidisciplinary Optimization
, vol.31
, Issue.6
, pp. 419-429
-
-
Sigmund, O.1
-
61
-
-
22544431996
-
Compliant mechanism design using multi-objective topology optimization scheme of continuum structures
-
Luo Z, Chen LP, Yang JZ, Zhang YQ, Abdel-Malek K. Compliant mechanism design using multi-objective topology optimization scheme of continuum structures. Structural and Multidisciplinary Optimization 2005; 30(2):142-154.
-
(2005)
Structural and Multidisciplinary Optimization
, vol.30
, Issue.2
, pp. 142-154
-
-
Luo, Z.1
Chen, L.P.2
Yang, J.Z.3
Zhang, Y.Q.4
Abdel-Malek, K.5
-
62
-
-
0000653947
-
Level set methods: An overview and some recent results
-
Osher S, Fedkiw RP. Level set methods: an overview and some recent results. Journal of Computational Physics 2001; 169:463-502.
-
(2001)
Journal of Computational Physics
, vol.169
, pp. 463-502
-
-
Osher, S.1
Fedkiw, R.P.2
|